1279088800 has 144 divisors (see below), whose sum is σ = 3428780544. Its totient is φ = 462080000.

The previous prime is 1279088771. The next prime is 1279088801. The reversal of 1279088800 is 88809721.

It is not an unprimeable number, because it can be changed into a prime (1279088801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680420 + ... + 1681180.

It is an arithmetic number, because the mean of its divisors is an integer number (23810976).

Almost surely, 2^1279088800 is an apocalyptic number.

1279088800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1279088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714390272).

1279088800 is an abundant number, since it is smaller than the sum of its proper divisors (2149691744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1279088800 is a wasteful number, since it uses less digits than its factorization.

1279088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The square root of 1279088800 is about 35764.3509657312. The cubic root of 1279088800 is about 1085.5093420050.

The spelling of 1279088800 in words is "one billion, two hundred seventy-nine million, eighty-eight thousand, eight hundred".